64050000 has 240 divisors, whose sum is σ = 240234624. Its totient is φ = 14400000.

The previous prime is 64049989. The next prime is 64050013. The reversal of 64050000 is 5046.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1049970 + ... + 1050030.

Almost surely, 2^64050000 is an apocalyptic number.

64050000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120117312).

64050000 is an abundant number, since it is smaller than the sum of its proper divisors (176184624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64050000 is an equidigital number, since it uses as much as digits as its factorization.

64050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 64050000 is about 8003.1243898867. The cubic root of 64050000 is about 400.1041395517.

Adding to 64050000 its reverse (5046), we get a palindrome (64055046).

It can be divided in two parts, 6 and 4050000, that multiplied together give a 5-th power (24300000 = 30⁵).

The spelling of 64050000 in words is "sixty-four million, fifty thousand", and thus it is an eban number.